Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

doi:10.1088/1674-1056/22/3/030302

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30302-030302.doi: 10.1088/1674-1056/22/3/030302

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

E. Maghsoodi^a, H. Hassanabadi^a, S. Zarrinkamar^b

a Physics Department, Shahrood University of Technology, Shahrood, Iran;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

收稿日期:2012-08-04 修回日期:2012-08-16 出版日期:2013-02-01 发布日期:2013-02-01

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

E. Maghsoodi^a, H. Hassanabadi^a, S. Zarrinkamar^b

a Physics Department, Shahrood University of Technology, Shahrood, Iran;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received:2012-08-04 Revised:2012-08-16 Online:2013-02-01 Published:2013-02-01
Contact: E. Maghsoodi E-mail:e.maghsoodi184@gmail.com

摘要/Abstract

摘要： Exact analytical solutions of the Dirac equation are reported for the Pöschl-Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved by using the Nikiforov-Uvarov method, and exact bound state energy eigenvalues and the corresponding two-component spinor wavefunctions are reported.

关键词: Dirac equation, Pö, schl-Teller double-ring-shaped Coulomb potential, Nikiforov-Uvarov method

Abstract: Exact analytical solutions of the Dirac equation are reported for the Pöschl–Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved by using the Nikiforov–Uvarov method, and exact bound state energy eigenvalues and the corresponding two-component spinor wavefunctions are reported.

Key words: Dirac equation, Pöschl–Teller double-ring-shaped Coulomb potential, Nikiforov–Uvarov method

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

02.30.Gp (Special functions) 03.65.Fd (Algebraic methods)

E. Maghsoodi, H. Hassanabadi, S. Zarrinkamar. Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method[J]. 中国物理B, 2013, 22(3): 30302-030302.

E. Maghsoodi, H. Hassanabadi, S. Zarrinkamar. Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method[J]. Chin. Phys. B, 2013, 22(3): 30302-030302.

参考文献 42

[1]	Bagchi B and Ganguly A 2003 J. Phys. A: Math. Gen. 36 161
[2]	Hasan Y and Tomak M 2005 Phys. Rev. B 72 115340
[3]	Hassanabadi H, Yazarloo B H, Zarrinkamar S and Rajabi A A 2011 Phys. Rev. C 84 064003
[4]	Hassanabadi S, Rajabi A A and Zarrinkamar S 2012 Mod. Phys. Lett. A 27 1250057
[5]	Roy U, Ghosh S, Panigrahi P K and Vitali D 2009 Phys. Rev. A 80 052115
[6]	Yildirim H and Tomak M 2006 J. Appl. Phys. 99 093103
[7]	Xie W 2006 Com. Theor. Phys. 46 1101
[8]	Lu F L and Chen C Y 2010 Chin. Phys. B 19 100309
[9]	Zhang X C, Liu Q W, Jia C S and Wang L Z 2005 Phys. Lett. A 340 59
[10]	Jia C S, Guo P, Diao Y F, Yi L Z and Xie X J 2007 Eur. Phys. J. A 34 41
[11]	Wei G F and Dong S H 2009 Euro. Phys. Lett. 87 40004
[12]	Xu Y, He S and Jia C S 2008 J. Phys. A: Math. Theor. 41 255302
[13]	Lisboa R, Malheiro M, de Castro A S, Alberto P and Fiolhais M 2004 Phys. Rev. C 69 4319
[14]	De Castro A S, Alberto P, Lisboa R and Malheiro M 2006 Phys. Rev. C 73 054309
[15]	Oyewumi K J, Akinpelu F O and Agboola A D 2008 Int. J. Theor. Phys. 47 1039
[16]	Qiang W C and Dong S H 2007 Phys. Lett. A 368 13
[17]	Greiner W 1987 Relativistic Quantum Mechanics, Wave Equations (Berlin: Springer)
[18]	Dong S H 2007 Factorization Method in Quantum Mechanics (Netherlands: Springer)
[19]	Dong S H, Gu X Y, Ma Z Q and Dong S 2002 Int. J. Mod. Phys. E 11 483
[20]	Dong S H, Sun G H and Popov D 2003 J. Math. Phys. 44 4467
[21]	Tezcan C and Sever R 2009 Int. J. Theor. Phys. 48 337
[22]	Agboola D 2011 Pram. J. Phys. 76 6
[23]	Wei G and Dong S H 2009 Phys. Lett. A 373 2428
[24]	Dong S H 2011 Wave Eqautions in Higher Dimensions (Berlin: Springer)
[25]	Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
[26]	Hassanabadi H, Maghsoodi E, Zarrinkamar S and Rahimov H 2011 Modern Phys. Lett. A 26 2703
[27]	Berkdemir C, Berkdemir A and Han J 2006 Chem. Phys. Lett. 417 326
[28]	E\ugifes H and Sever R 2005 Phys. Lett. A 344 117
[29]	Hassanabadi H, Maghsoodi E, Zarrinkamar S and Rahimov H 2012 J. Math. Phys. 53 022104
[30]	Huang B W 2003 High Energy Phys. Nucl. Phys. 27 770 (in Chinese)
[31]	Yasuk F and Durmus A 2008 Phys. Scr. 77 015005
[32]	Victoria Carpio-Bernido M, Bernido Christopher C 1989 Phys. Lett. A 137 1
[33]	Dong S H, Sun G H and Lozada-Cassou M 2004 Phys. Lett. A 328 299
[34]	Chen C Y and Dong S H 2005 Phys. Lett. A 335 374
[35]	Zhang M C, Sun G H and Dong S H 2010 Phys. Lett. A 374 704
[36]	Arda A and Sever R 2012 J. Math. Chem. 50 1484
[37]	Dong S H, Chen C Y and Lozada-Cassou M 2005 International Journal of Quantum Chemistry. 105 453
[38]	Dong S H and Lozada-Cassou M 2006 Phys. Scr. 74 285
[39]	Sun G H and Dong S H 2010 Mod. Phys. Lett. A 25 2849
[40]	Bakkeshizadeh S and Vahidi V 2012 Adv. Studies Theor. Phys. 6 733
[41]	Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Birkhauser: Bassel)
[42]	Miranda M G, Sun G H and Dong S H 2010 Int. J. Mod. Phys. E 19 123

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

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